This is the inaugural volume of a new book series published under the auspices of the St. Petersburg Mathematical Society. The book contains contributions by some of the leading mathematicians in St. Petersburg. Ranging over a wide array of topics, these papers testify to the diverse interests and productive mathematical life of the St. Petersburg Mathematical Society.

Readership

Research mathematicians.

Table of Contents

• A. I. Barvinok and A. M. Vershik -- Polynomial-time computable approximation of families of semialgebraic sets and combinatorial complexity
• Yu. N. Bibikov -- Construction of invariant tori of systems of differential equations with a small parameter
• I. Baesler and I. K. Daugavet -- Approximation of nonlinear operators by Volterra polynomials
• N. A. Vavilov -- Subgroups of Chevalley groups containing a maximal torus
• V. Maz'ya and A. Solov'ev -- On the boundary integral equation of the Neumann problem in a domain with a peak
• A. V. Megretskiĭ and V. A. Yakubovich -- Singular stationary nonhomogeneous linear-quadratic optimal control
• S. A. Nazarov and B. A. Plamenevskiĭ -- The Neumann problem for selfadjoint elliptic systems in a domain with piecewise-smooth boundary
• S. Yu. Pilyugin -- Limit sets of domains in flows